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Finding the Fourth Proportional to 31,624.22, 47,436.33 and 8,250.46

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Solution

The fourth proportional to 31,624.22, 47,436.33 and 8,250.46 is: 12,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,624.22 : 47,436.33 = 8,250.46 : x
  2. Step 2: Convert to fraction form
    31,624.22/47,436.33 = 8,250.46/x
  3. Step 3: Cross multiply
    31,624.22x = 47,436.33 × 8,250.46
  4. Step 4: Simplify right side
    31,624.22x = 391,371,455.56
  5. Step 5: Solve for x
    x = 391,371,455.56/31,624.22
  6. Step 6: Final answer
    x = 12,375.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.